{"title":"Number Theory","description":null,"products":[{"product_id":"primeobsession-bernhardriemannandthegreatestunsolvedprobleminmathematics","title":"Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics","description":"\u003cp\u003eIn August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: \"On the Number of Prime Numbers Less Than a Given Quantity.\" In the middle of that paper, Riemann made an incidental remark — a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false?\u003c\/p\u003e\n\n\u003cp\u003eRiemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic — defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark — the Riemann Hypothesis — that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows — subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age.\u003c\/p\u003e\n\n\u003cp\u003eIt has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many — the veritable \"great white whale\" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution.\u003c\/p\u003e\n\n\u003cp\u003eAlternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof — and those who have been consumed by it., ISBN13: 9780309085496 ISBN10: 0309085497 Material Type: hardcover\u003c\/p\u003e","brand":"CheapBookDepot","offers":[{"title":"Default Title","offer_id":46107796471971,"sku":"MT-STR_UBD_H0000UHI","price":10.8,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0607\/9227\/5107\/files\/A1Qpg-IuaiL_66ff51b4-b71d-4c08-aa3b-f94cece7fbbc.jpg?v=1754536333"},{"product_id":"common-core-math-workbook-grade-4-multiple-choice-daily-math-practice-grade-4","title":"Common Core Math Workbook, Grade 4: Multiple Choice, Daily Math Practice Grade 4","description":"\u003cp\u003eSpecial Offer\u003c\/p\u003e\n\n\u003cp\u003eFREE TRIAL Access to 400+ practice questions that your child can practice with directly from our website. Chat with us at www.argoprep.com and mention PROMO: AMZARGOCC\u003cbr\u003e\nThis book is your comprehensive workbook for Daily Math Practice Grade 4 (Common Core Math).\u003c\/p\u003e\n\n\u003cp\u003eBy practicing and mastering this entire workbook, your child will become very familiar and comfortable with the state math exam and common core standards. This Daily Math Practice Grade 4 Workbook (Multiple Choice) includes:\u003cbr\u003e\n• 20 Weeks of Daily Multiple Choice Practice\u003cbr\u003e\n• Weekly Assessments\u003cbr\u003e\n• State Aligned Common Core Curriculum\u003cbr\u003e\n• End of Year Assessment\u003cbr\u003e\n• Detailed Video Answer Explanations to all questions in the workbook\u003c\/p\u003e\n\n\u003cp\u003eFor practice with Free Response questions, be sure to check out Part II of our workbook titled:\u003c\/p\u003e\n\n\u003cp\u003eCommon Core Math Workbook, Grade 4: Free Response, Daily Math Practice Grade 4\u003c\/p\u003e\n\n\u003cp\u003eEach question is labeled with the specific common core standard so both parents and teachers can use this workbook for their student(s). This workbook takes the Common Core State Standards and divides them up among 20 weeks. By working on these problems on a daily basis, students will be able to (1) find any deficiencies in their understanding and\/or practice of math and (2) have small successes each day that will build competence and confidence in their abilities.\u003c\/p\u003e\n\n\u003cp\u003eWe know the common core can be challenging. For that reason we have decided to provide detailed video explanations to each math question. If your child is having trouble with any questions, you can easily access our video explanations where an instructor will show the student how to get the correct answer.\u003c\/p\u003e\n\n\u003cp\u003eWe strongly recommend watching the videos as it will reinforce the fundamental concepts. Please note, scrap paper may be necessary while using this workbook so that the student has sufficient space to show their work., ISBN13: 9780692755976 ISBN10: 0692755977 Material Type: paperback\u003c\/p\u003e","brand":"CheapBookDepot","offers":[{"title":"Default Title","offer_id":46124540002467,"sku":"TN_STR_UBD_H0000SZI","price":10.15,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0607\/9227\/5107\/files\/711zMDb075L.jpg?v=1754811664"},{"product_id":"prime-obsession-bernhard-riemann-and-the-greatest-unsolved-problem-in-mathematics","title":"Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics","description":"\u003cp\u003eIn August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: \"On the Number of Prime Numbers Less Than a Given Quantity.\" In the middle of that paper, Riemann made an incidental remark — a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false?\u003c\/p\u003e\n\n\u003cp\u003eRiemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic — defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark — the Riemann Hypothesis — that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows — subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age.\u003c\/p\u003e\n\n\u003cp\u003eIt has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many — the veritable \"great white whale\" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution.\u003c\/p\u003e\n\n\u003cp\u003eAlternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. 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